Right ideals in non-associative universal enveloping algebras of Lie triple systems
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Universidad de La Rioja
info
ISSN: 0949-5932
Year of publication: 2008
Volume: 18
Issue: 2
Pages: 375-382
Type: Article
More publications in: Journal of Lie Theory
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Abstract
We prove that the only proper right ideal of the universal enveloping algebra of a finite-dimensional central simple Lie triple system over a field of characteristic zero is its augmentation ideal. This provides new series of infinite-dimensional simple non-associative algebras strongly connected with Hopf algebras and geometry. © 2008 Heldermann Verlag.